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IUPhysicsP201F2009
Assignment10a
Due at 11:00pm on Tuesday, November 4, 2008
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Archimedes' Principle
Description:
Several qualitative questions about Archimedes' principle.
Learning Goal:
To understand the applications of Archimedes' principle.
Archimedes' principle
is a powerful tool for solving many problems involving equilibrium in fluids. It states the
following:
When a body is partially or completely submerged in a fluid (either a liquid or a gas), the fluid exerts
an upward force on the body equal to the weight of the fluid displaced by the body.
As a result of the upward Archimedes force (often called the
buoyant force
), some objects may float in a fluid, and all
of them appear to weigh less. This is the familiar phenomenon of
buoyancy
.
Quantitatively, the buoyant force can be found as
,
where
is the force,
is the density of the fluid,
is the magnitude of the acceleration due to gravity, and
is the volume of the displaced fluid.
In this problem, you will be asked several qualitative questions that should help you develop a feel for Archimedes'
principle.
An object is placed in a fluid and then released. Assume that the object either floats to the surface (settling so that
the object is partly above and partly below the fluid surface) or sinks to the bottom. (Note that for Parts A through
D, you should assume that the object has settled in equilibrium.)
Part A
Consider the following statement:
The magnitude of the buoyant force is equal to the weight of fluid displaced by the object.
Under what circumstances is this statement true?
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View Full Document Use Archimedes' principle to answer the rest of the questions in this problem.
Hint A.1
Archimedes' principle
The statement of Part A is one way of expressing Archimedes' principle.
ANSWER:
for every object submerged partially or completely in a fluid
only for an object that floats
only for an object that sinks
for no object submerged in a fluid
Part B
Consider the following statement:
The magnitude of the buoyant force is equal to the weight of the amount of fluid that has the same
total volume as the object.
Under what circumstances is this statement true?
Hint B.1
Consider Archimedes' principle
Archimedes' principle deals with the displaced volume. When is the displaced volume equal to the total volume of
the object?
ANSWER:
for an object that is partially submerged in a fluid
only for an object that floats
for an object completely submerged in a fluid
for no object partially or completely submerged in a fluid
Part C
Consider the following statement:
The magnitude of the buoyant force equals the weight of the object.
Under what circumstances is this statement true?
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This note was uploaded on 10/29/2009 for the course CHEM 105B taught by Professor Bau during the Fall '08 term at USC.
 Fall '08
 Bau
 Chemistry, pH

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